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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 52 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  2. 2.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  3. 3.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  4. 4.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.The sum of 5 consecutive numbers is 235. What is the largest of them?
  6. 6.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 250. What is the largest of them?
  9. 9.One number is 2 times another. Their difference is 11. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  11. 11.The sum of two numbers is 15 and their difference is 7. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  13. 13.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  14. 14.The sum of two numbers is 106 and their difference is 22. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 80. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  18. 18.The sum of 5 consecutive numbers is 265. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 190. What is the largest of them?
  20. 20.The sum of two numbers is 97 and their difference is 33. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 159. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  23. 23.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  25. 25.The sum of two numbers is 17 and their difference is 3. What is the smaller number?
  26. 26.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  27. 27.The sum of two numbers is 58 and their difference is 2. What is the larger number?
  28. 28.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  31. 31.One number is 4 times another. Their difference is 120. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 160. What is the largest of them?
  33. 33.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.The sum of 5 consecutive numbers is 140. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 142. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  38. 38.The sum of two numbers is 158 and their difference is 36. What is the smaller number?
  39. 39.The sum of two numbers is 69 and their difference is 33. What is the smaller number?
  40. 40.One number is 4 times another. Their difference is 111. What is the smaller number?

Answer key

  1. 21
  2. 16
  3. 69
  4. 67
  5. 49
  6. 5
  7. 40
  8. 52
  9. 11
  10. 79
  11. 4
  12. 27
  13. 59
  14. 42
  15. 15
  16. 20
  17. 47
  18. 55
  19. 40
  20. 32
  21. 54
  22. 82
  23. 35
  24. 89
  25. 7
  26. 57
  27. 30
  28. 51
  29. 57
  30. 66
  31. 40
  32. 34
  33. 23
  34. 30
  35. 37
  36. 33
  37. 87
  38. 61
  39. 18
  40. 37

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